The present invention discloses a driving method and device of a touch control display configured to resolve the problems such as image smearing and jittering caused by the touch control displaying during the image displaying by the display with the touch functions. The driving method of the touch control display includes: detecting whether or not a touch currently occurs on the touch control panel after the touch control display panel displaying the present image frame and before displaying the next image frame; when a occurred touch event is detected, controlling the display panel to display the inserted image with equal grayscale for each pixel of the display during a prescribed period; and controlling the touch control panel to execute the touch control command based on the touch signal corresponding to the occurred touch event.